In the presence of a magnetic field, charged particles gyrate about the field line at the cyclotron frequency \(\Omega _1 = eB/m\) . With a strong enough magnetic field, the cylcotron frequency is much larger than any other characteristic frequency in the plasma. Under such conditions, the magnetic moment \(\mu \)  is adiabatically conserved [1]}, [2]}, [3]}, [4]}, [5]}, and the gyromotion can be decoupled from the guiding center motion:
\(&r = r_G + \rho \cos (\alpha _1),\\&\theta = \theta _G + \frac{\rho }{r} \sin (\alpha _1),\\&\varphi = \varphi _G,\) 
